12498 ÷ 7 = 1785 R3
Alright, let's work through the division of 12498 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 2:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 12 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 3:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 49 from 54 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 7

Step 4:
7 goes into 59 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 178
Subtract 56 from 59 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 5:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 1785
Subtract 35 from 38 to get 3.

The final result is 1785 with a remainder of 3.